[Answer] What are the solutions of the equation x4 - 5x2 - 36 = 0? Use factoring to solve.

Answer: x = ±2i and x = ±3B

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What are the solutions of the equation x4 - 5x2 - 36 = 0? Use factoring to solve. Sun Jun 22 2003 14:30:00 GMT-0400 (Eastern Daylight Time) · 2) Use variable change z = x + m/x. The general case along Ferrari's lines. To begin the quartic must first be converted to a depressed quartic. Converting to a depressed quartic. Let + + + + = (′) be the general quartic equation which it is desired to solve . This is the resolvent cubic of the quartic equation . The value of m may thus be obtained from Cardano's formula.When m is a root of this equation the right-hand side of equation is the square (−).However this induces a division by zero if m = 0 .This implies q = 0 and thus that the depressed equation is bi-quadratic and may be solved by an easier method (see above). Sat Aug 23 2003 14:30:00 GMT-0400 (Eastern Daylight Time) · Finding roots of a quintic equation . Finding the roots of a given polynomial has been a prominent mathematical problem. Solving linear quadratic cubic and quartic equations by factorization into radicals can always be done ...

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